CA2017482A1 - Educational system for teaching counting and equation solving strategies - Google Patents
Educational system for teaching counting and equation solving strategiesInfo
- Publication number
- CA2017482A1 CA2017482A1 CA2017482A CA2017482A CA2017482A1 CA 2017482 A1 CA2017482 A1 CA 2017482A1 CA 2017482 A CA2017482 A CA 2017482A CA 2017482 A CA2017482 A CA 2017482A CA 2017482 A1 CA2017482 A1 CA 2017482A1
- Authority
- CA
- Canada
- Prior art keywords
- elements
- simulate
- manipulable
- displaying
- equation
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
Classifications
-
- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B19/00—Teaching not covered by other main groups of this subclass
- G09B19/02—Counting; Calculating
Abstract
This invention encompasses teaching kits for mathematics and a set of cooperating cards for use with the kits. A single surface displaying manipulable elements arranged on the surface is used to teach concepts of counting denominate units and evaluating expressions. Two surfaces displaying manipulable elements arranged on each surface simulate a linear equation.
Four surfaces displaying manipulable elements arranged on each surface simulate a system of two linear equations. The elements are distinguishable by physical features in such a way that typically as many as three distinct denominate units are displayed with both positive and negative representations. The invention can be extended, in general, to a system of n equations, with 2n surfaces. Certain elements mask the occurrence of other elements in such a way as to simulate a variable in an equation. The cards serve to provide information for utilizing the boards and also can be employed by themselves. By manipulating elements a student is taught, in a very concrete and tangible fashion, the strategies necessary to count an array, solve a linear equation, or solve a system of two or more linear equations.
Four surfaces displaying manipulable elements arranged on each surface simulate a system of two linear equations. The elements are distinguishable by physical features in such a way that typically as many as three distinct denominate units are displayed with both positive and negative representations. The invention can be extended, in general, to a system of n equations, with 2n surfaces. Certain elements mask the occurrence of other elements in such a way as to simulate a variable in an equation. The cards serve to provide information for utilizing the boards and also can be employed by themselves. By manipulating elements a student is taught, in a very concrete and tangible fashion, the strategies necessary to count an array, solve a linear equation, or solve a system of two or more linear equations.
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US07/327,726 US5039603A (en) | 1989-03-23 | 1989-03-23 | Educational system for teaching counting and equation solving strategies |
Publications (2)
Publication Number | Publication Date |
---|---|
CA2017482A1 true CA2017482A1 (en) | 1991-11-24 |
CA2017482C CA2017482C (en) | 1996-05-07 |
Family
ID=23277775
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CA002017482A Expired - Fee Related CA2017482C (en) | 1989-03-23 | 1990-05-24 | Educational system for teaching counting and equation solving strategies |
Country Status (4)
Country | Link |
---|---|
US (1) | US5039603A (en) |
AU (1) | AU630455B2 (en) |
CA (1) | CA2017482C (en) |
GB (1) | GB2244366B (en) |
Families Citing this family (15)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US5421732A (en) * | 1994-07-18 | 1995-06-06 | Taylor; Raymond R. | Apparatus and method for teaching addition and subtraction |
US5732001A (en) * | 1994-09-13 | 1998-03-24 | Sharp Kabushiki Kaisha | Calculator with stepwise display of linear equations |
USD378756S (en) * | 1996-02-07 | 1997-04-08 | Mcdonald Paul R | Shape maker |
US6755658B2 (en) * | 2002-10-04 | 2004-06-29 | Shlomo Ruvane Frieman | Game apparatuses and methods for use in teaching the addition, subtraction, multiplication, and division of positive and negative numbers |
US6926530B2 (en) * | 2002-10-04 | 2005-08-09 | Shlomo Ruvane Frieman | Game apparatuses and methods for use in teaching the addition and subtraction of positive and negative numbers |
US20070048693A1 (en) * | 2005-08-10 | 2007-03-01 | Patty Hannan | Educational system and tools |
US20080064015A1 (en) * | 2006-09-13 | 2008-03-13 | Garmirian Barbara E | Devices for teaching elementary fractional concepts |
US8591234B1 (en) * | 2010-01-06 | 2013-11-26 | Bruce Allen Ratcliffe | Kits and methods for exploring mathematical concepts |
US8681973B2 (en) * | 2010-09-15 | 2014-03-25 | At&T Intellectual Property I, L.P. | Methods, systems, and computer program products for performing homomorphic encryption and decryption on individual operations |
US8708766B2 (en) * | 2010-10-04 | 2014-04-29 | Tech 4 Kids, Inc. | Child's activity toy |
RU2442820C1 (en) * | 2010-12-16 | 2012-02-20 | Федеральное автономное учреждение "25 Государственный научно-исследовательский институт химмотологии Министерства обороны Российской Федерации" | Polyfunctional additive to engine oils |
US10899124B2 (en) * | 2013-07-24 | 2021-01-26 | Hp Indigo B.V. | To determine a quantity of a liquid in a chamber |
US20160314709A1 (en) * | 2015-04-22 | 2016-10-27 | Jeffrey B. Matthews | Visual and kinesthetic method and educational kit for solving algebraic linear equations involving an unknown variable |
US11004358B2 (en) * | 2015-04-22 | 2021-05-11 | Jeffrey B. Matthews | Visual and kinesthetic method and educational kit for solving algebraic linear equations involving an unknown variable |
US10839719B2 (en) * | 2018-02-27 | 2020-11-17 | Anthony John Rankine | Bead-on-tile apparatus and methods |
Family Cites Families (9)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US2502238A (en) * | 1947-08-20 | 1950-03-28 | Francis A Wade | Educational device |
US2722754A (en) * | 1951-11-08 | 1955-11-08 | Herbert L Slote | Device for teaching elementary mathematics |
US3235975A (en) * | 1963-06-11 | 1966-02-22 | Elliot L Pierson | Visual education device for illustrating mathematical concepts |
US3276151A (en) * | 1964-04-02 | 1966-10-04 | Bradley Milton Co | Educational apparatus |
US3423849A (en) * | 1966-06-30 | 1969-01-28 | Eastview Corp | Educational apparatus |
US3514873A (en) * | 1968-09-16 | 1970-06-02 | Paul J Stobbe | Educational device for individual student use |
IT8319441V0 (en) * | 1983-11-25 | 1983-11-25 | Saitta Rinaldelli Maria Pia | EDUCATIONAL AID EQUIPMENT FOR THE LEARNING OF NUMBERING SYSTEMS ON ANY BASIS |
US4713009A (en) * | 1986-06-11 | 1987-12-15 | Henry Borenson | Teaching apparatus and method for solving algebraic linear equations |
AU1697588A (en) * | 1987-06-02 | 1988-12-08 | Johnstone, G.G. | A mathematics game |
-
1989
- 1989-03-23 US US07/327,726 patent/US5039603A/en not_active Expired - Fee Related
-
1990
- 1990-05-23 GB GB9011542A patent/GB2244366B/en not_active Expired - Fee Related
- 1990-05-24 AU AU55892/90A patent/AU630455B2/en not_active Ceased
- 1990-05-24 CA CA002017482A patent/CA2017482C/en not_active Expired - Fee Related
Also Published As
Publication number | Publication date |
---|---|
CA2017482C (en) | 1996-05-07 |
GB2244366A (en) | 1991-11-27 |
AU5589290A (en) | 1991-11-28 |
GB9011542D0 (en) | 1990-07-11 |
AU630455B2 (en) | 1992-10-29 |
US5039603A (en) | 1991-08-13 |
GB2244366B (en) | 1994-04-27 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CA2017482A1 (en) | Educational system for teaching counting and equation solving strategies | |
US5108291A (en) | Supplementary teaching instruments | |
US4713009A (en) | Teaching apparatus and method for solving algebraic linear equations | |
US3758962A (en) | Arithmetic teaching aid kit | |
US3461573A (en) | Modern mathematics demonstration unit | |
US5098301A (en) | Multiplication facts learning aid | |
Kamii | Why Is the Use of a Ruler So Hard?. | |
US3276151A (en) | Educational apparatus | |
US3270430A (en) | Educational aid | |
Badeleh et al. | The impact of cognitive load and augmented reality technology methods on students' learning-retention in mathematics | |
US4241522A (en) | Teaching aid | |
US3248804A (en) | Teaching aid | |
Gluck | Helping students understand place value | |
Billings | SMP That Help Foster Algebraic Thinking | |
Smith III | Learning rational number | |
EP0335737A3 (en) | Computational aid | |
Elder | Mathematics for the Below-Average Achiever in High School | |
Wells | Using a negative base for number notation | |
Morley | Goals for mathematical education of elementary school teachers | |
KR19990012518U (en) | Magnetic blackboard parish for mathematical education | |
Reinup | Teaching Number Line, Fractions, Decimals and Percentages as an Integrated System | |
Moore et al. | Metacognitive instruction in map reading | |
Thompson | Geometric patterns for exponents | |
Duren | Retaining a problem-solving focus in the technology revolution | |
Dixon | LEGO blocks in the maths classroom |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
EEER | Examination request | ||
MKLA | Lapsed |